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Hybrid lattice Boltzmann model for binary fluid mixtures.

A Tiribocchi1, N Stella, G Gonnella

  • 1Dipartimento di Fisica, Università di Bari, Via Amendola 173, 70126 Bari, Italy. adriano.tiribocchi@ba.infn.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

A new hybrid lattice Boltzmann method (LBM) simulates binary mixtures using a free-energy approach. This method enhances stability and significantly reduces spurious velocities in fluid dynamics simulations.

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Area of Science:

  • Computational fluid dynamics
  • Thermodynamics
  • Numerical analysis

Background:

  • Lattice Boltzmann Methods (LBM) are effective for fluid simulations.
  • Simulating binary mixtures requires handling nonideal interactions.
  • Spurious velocities can arise from numerical discretization in LBM.

Purpose of the Study:

  • To propose a hybrid LBM for binary mixtures based on free-energy.
  • To incorporate nonideal pressure tensor terms as a body force.
  • To reduce spurious velocities in LBM simulations.

Main Methods:

  • A hybrid LBM approach combining free-energy and kinetic equations.
  • Finite-difference methods for the convection-diffusion equation.
  • Discretization of differential operators to minimize spurious velocities.

Main Results:

  • The proposed algorithm is stable and Galilean invariant.
  • It accurately reproduces equilibrium behavior in test cases.
  • Spurious velocities are reduced by approximately one order of magnitude compared to standard methods.

Conclusions:

  • The hybrid LBM offers a stable and accurate method for binary mixture simulations.
  • Incorporating nonideal terms improves the physical realism of simulations.
  • The discretization strategy effectively mitigates spurious velocities, enhancing simulation reliability.